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Finding the Fourth Proportional to 407,255.40, 611,174.70 and 170,767.80

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Solution

The fourth proportional to 407,255.40, 611,174.70 and 170,767.80 is: 256,273.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,255.40 : 611,174.70 = 170,767.80 : x
  2. Step 2: Convert to fraction form
    407,255.40/611,174.70 = 170,767.80/x
  3. Step 3: Cross multiply
    407,255.40x = 611,174.70 × 170,767.80
  4. Step 4: Simplify right side
    407,255.40x = 104,368,958,934.66
  5. Step 5: Solve for x
    x = 104,368,958,934.66/407,255.40
  6. Step 6: Final answer
    x = 256,273.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.